42381946465720218

Names of 42381946465720218

• Cardinal: 42381946465720218 can be written as Forty-two quadrillion, three hundred eighty-one trillion, nine hundred forty-six billion, four hundred sixty-five million, seven hundred twenty thousand, two hundred eighteen.

Scientific notation

• Scientific notation: 4.2381946465720218 × 10¹⁶

Factors of 42381946465720218

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 1434

Divisors of 42381946465720218

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 163 294 326 343 441 489 686 882 978 1029 1141 1259 1467 2058 2282 2518 2934 3087 3423 3777 6174 6846 7554 7987 8813 10269 11331 15974 17626 20538 22662 23961 26439 26569 47922 52878 53138 55909 61691 71883 79317 79707 111818 123382 143766 158634 159414 167727 185073 185983 205217 239121 335454 370146 371966 410434 431837 478242 503181 555219 557949 615651 863674 1006362 1110438 1115898 1231302 1295511 1301881 1436519 1585081 1673847 1846953 2591022 2603762 2873038 3170162 3347694 3693906 3886533 3905643 4309557 4330747 4755243 7773066 7811286 8619114 8661494 9113167 9510486 10055633 11095567 11716929 12928671 12992241 14265729 18226334 20111266 22191134 23433858 25857342 25984482 27339501 28531458 30166899 30315229 33286701 33450371 38976723 54679002 60333798 60630458 66573402 66900742 70389431 77668969 77953446 82018503 90500697 90945687 99860103 100351113 140778862 155337938 164037006 181001394 181891374 199720206 200702226 211168293 212206603 233006907 234152597 258368203 272837061 301053339 422336586 424413206 466013814 468305194 516736406 543682783 545674122 602106678 633504879 636619809 699020721 702457791 775104609 1087365566 1267009758 1273239618 1398041442 1404915582 1485446221 1550209218 1631048349 1639068179 1808577421 1909859427 2107373373 2325313827 2970892442 3262096698 3278136358 3617154842 3819718854 4214746746 4456338663 4650627654 4893145047 4917204537 5425732263 5452410473 8912677326 9786290094 9834409074 10851464526 10904820946 11473477253 12660041947 13369015989 14751613611 16277196789 16357231419 22946954506 25320083894 26738031978 29503227222 32554393578 32714462838 34420431759 37980125841 38166873311 42114017089 49071694257 68840863518 75960251682 76333746622 84228034178 88620293629 98143388514 103261295277 113940377523 114500619933 126342051267 177240587258 206522590554 227880755046 229001239866 252684102534 265860880887 267168113177 294798119623 343501859799 379026153801 531721761774 534336226354 589596239246 687003719598 758052307602 797582642661 801504339531 884394358869 1595165285322 1603008679062 1768788717738 1870176792239 2063586837361 2404513018593 2653183076607 3740353584478 4127173674722 4809026037186 5306366153214 5610530376717 6190760512083 6864584785507 11221060753434 12381521024166 13729169571014 14445107861527 16831591130151 18572281536249 20593754356521 28890215723054 33663182260302 37144563072498 41187508713042 43335323584581 48052093498549 61781263069563 86670647169162 96104186997098 123562526139126 130005970753743 144156280495647 260011941507486 288312560991294 336364654489843 432468841486941 672729308979686 864937682973882 1009093963469529 2018187926939058 2354552581428901 3027281890408587 4709105162857802 6054563780817174 7063657744286703 14127315488573406 21190973232860109 42381946465720218
• Sum of all divisors σ(n): 107834207218608000
• Sum of proper divisors (its aliquot sum) s(n): 65452260752887782
• 42381946465720218 is an abundant number, because the sum of its proper divisors (65452260752887782) is greater than itself. Its abundance is 23070314287167564

Bases of 42381946465720218

• Binary: 10010110100100100010011111011111111110101001011110011010₂
• Hexadecimal: 0x969227DFFA979A
• Base-36: BLB59F49CII

Squares and roots of 42381946465720218

• 42381946465720218 squared (42381946465720218²) is 1796229386223174477663777453967524
• 42381946465720218 cubed (42381946465720218³) is 76127697687064065990787436599679654486944242200232
• The square root of 42381946465720218 is 205868760.2957773145
• The cube root of 42381946465720218 is 348653.1817506759

Scales and comparisons

• 42,381,946,465,720,218 seconds is equal to 1,347,614,801 years, 33 weeks, 2 days, 16 hours, 30 minutes, 18 seconds.
• To count from 1 to 42,381,946,465,720,218 would take you about four billion, forty-two million, eight hundred forty-four thousand, four hundred four years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 42381946465720218 cubic inches would be around 29054.4 feet tall.

Recreational maths with 42381946465720218

• 42381946465720218 backwards is 81202756464918324
• The number of decimal digits it has is: 17
• The sum of 42381946465720218's digits is 72
• More coming soon!